25 × 7 × 4831
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 4831, 9662, 19324, 33817, 38648, 67634, 77296, 135268, 154592, 270536, 541072 and 1082144
No.
Its nearest Fibonacci number neighbors are 832040 and 1346269.